SOLUTION: Solve the equation. w^3+5w^2-w=5

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Question 121208: Solve the equation. w^3+5w^2-w=5
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for w:
w%5E3%2B5W%5E2-w+=+5 First, subtract 5 from both sides.
w%5E3%2B5w%5E2-w-5+=+0 Then factor the left side.
%28w%5E2-1%29%28w%2B5%29+=+0 Apply the zero product principle.
w%5E2-1+=+0 or w%2B5+=+0
If w%5E2-1+=+0 then w%5E2+=+1 so w+=+1 or w+=+-1
If w%2B5+=+0 then w+=+-5
The solutions are:
w+=+1
w+=+-1
w+=+-5